{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "zX4Kg8DUTKWO"
   },
   "outputs": [],
   "source": [
    "# 模拟生成时间序列\n",
    "# 模拟生成数据集\n",
    "# 使用神经网络预测时间序列\n",
    "# 计算损失函数\n",
    "# 借助损失函数进行优化\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "#@title Licensed under the Apache License, Version 2.0 (the \"License\");\n",
    "# you may not use this file except in compliance with the License.\n",
    "# You may obtain a copy of the License at\n",
    "#\n",
    "# https://www.apache.org/licenses/LICENSE-2.0\n",
    "#\n",
    "# Unless required by applicable law or agreed to in writing, software\n",
    "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
    "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
    "# See the License for the specific language governing permissions and\n",
    "# limitations under the License."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "view-in-github"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/lmoroney/dlaicourse/blob/master/TensorFlow%20In%20Practice/Course%204%20-%20S%2BP/S%2BP%20Week%202%20Lesson%203.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "cellView": "both",
    "colab": {},
    "colab_type": "code",
    "id": "D1J15Vh_1Jih"
   },
   "outputs": [],
   "source": [
    "try:\n",
    "  # %tensorflow_version only exists in Colab.\n",
    "  %tensorflow_version 2.x\n",
    "except Exception:\n",
    "  pass\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "BOjujz601HcS"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.2.0\n"
     ]
    }
   ],
   "source": [
    "import tensorflow as tf\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "print(tf.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "Zswl7jRtGzkk"
   },
   "outputs": [],
   "source": [
    "# 1. 模拟生成时间序列\n",
    "def plot_series(time, series, format=\"-\", start=0, end=None):\n",
    "    plt.plot(time[start:end], series[start:end], format)\n",
    "    plt.xlabel(\"Time\")\n",
    "    plt.ylabel(\"Value\")\n",
    "    plt.grid(True)\n",
    "\n",
    "def trend(time, slope=0):\n",
    "    return slope * time\n",
    "\n",
    "def seasonal_pattern(season_time):\n",
    "    \"\"\"Just an arbitrary pattern, you can change it if you wish\"\"\"\n",
    "    return np.where(season_time < 0.4,\n",
    "                    np.cos(season_time * 2 * np.pi),\n",
    "                    1 / np.exp(3 * season_time))\n",
    "\n",
    "def seasonality(time, period, amplitude=1, phase=0):\n",
    "    \"\"\"Repeats the same pattern at each period\"\"\"\n",
    "    season_time = ((time + phase) % period) / period\n",
    "    return amplitude * seasonal_pattern(season_time)\n",
    "\n",
    "def noise(time, noise_level=1, seed=None):\n",
    "    rnd = np.random.RandomState(seed)\n",
    "    return rnd.randn(len(time)) * noise_level\n",
    "\n",
    "time = np.arange(4 * 365 + 1, dtype=\"float32\")\n",
    "baseline = 10\n",
    "series = trend(time, 0.1)  \n",
    "baseline = 10\n",
    "amplitude = 20\n",
    "slope = 0.09\n",
    "noise_level = 5\n",
    "\n",
    "# Create the series\n",
    "series = baseline + trend(time, slope) + seasonality(time, period=365, amplitude=amplitude)\n",
    "# Update with noise\n",
    "series += noise(time, noise_level, seed=42)\n",
    "\n",
    "split_time = 1000\n",
    "time_train = time[:split_time]\n",
    "x_train = series[:split_time]\n",
    "time_valid = time[split_time:]\n",
    "x_valid = series[split_time:]\n",
    "\n",
    "window_size = 20\n",
    "batch_size = 32\n",
    "shuffle_buffer_size = 1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "tVH2XEt4yA4m"
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plot_series(time_valid, x_valid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "4sTTIOCbyShY"
   },
   "outputs": [],
   "source": [
    "# 模拟生成数据集\n",
    "def windowed_dataset(series, window_size, batch_size, shuffle_buffer):\n",
    "  dataset = tf.data.Dataset.from_tensor_slices(series)\n",
    "  dataset = dataset.window(window_size + 1, shift=1, drop_remainder=True)\n",
    "  dataset = dataset.flat_map(lambda window: window.batch(window_size + 1))\n",
    "  dataset = dataset.shuffle(shuffle_buffer).map(lambda window: (window[:-1], window[-1]))\n",
    "  dataset = dataset.batch(batch_size).prefetch(1)\n",
    "  return dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "TW-vT7eLYAdb"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<tensorflow.python.keras.callbacks.History at 0x7f3af47f00f0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 使用神经网络训练数据集（蓝色是训练数据，橙色是验证数据）\n",
    "dataset = windowed_dataset(x_train, window_size, batch_size, shuffle_buffer_size)\n",
    "\n",
    "model = tf.keras.models.Sequential([\n",
    "    tf.keras.layers.Dense(10, input_shape=[window_size], activation=\"relu\"), \n",
    "    tf.keras.layers.Dense(10, activation=\"relu\"), \n",
    "    tf.keras.layers.Dense(1)\n",
    "])\n",
    "\n",
    "model.compile(loss=\"mse\", optimizer=tf.keras.optimizers.SGD(lr=1e-6, momentum=0.9))\n",
    "model.fit(dataset,epochs=100,verbose=0)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "efhco2rYyIFF"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecast = []\n",
    "for time in range(len(series) - window_size):\n",
    "  forecast.append(model.predict(series[time:time + window_size][np.newaxis]))\n",
    "\n",
    "forecast = forecast[split_time-window_size:]\n",
    "results = np.array(forecast)[:, 0, 0]\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "plot_series(time_valid, x_valid)\n",
    "plot_series(time_valid, results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "-kT6j186YO6K"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.8629503"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf.keras.metrics.mean_absolute_error(x_valid, results).numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "tnCe_nBKu7RB"
   },
   "outputs": [],
   "source": [
    "# 使用神经网络预测时间序列，并使用LR_scheduler机制调整学习率\n",
    "dataset = windowed_dataset(x_train, window_size, batch_size, shuffle_buffer_size)\n",
    "\n",
    "model = tf.keras.models.Sequential([\n",
    "    tf.keras.layers.Dense(10, input_shape=[window_size], activation=\"relu\"), \n",
    "    tf.keras.layers.Dense(10, activation=\"relu\"), \n",
    "    tf.keras.layers.Dense(1)\n",
    "])\n",
    "\n",
    "lr_schedule = tf.keras.callbacks.LearningRateScheduler(\n",
    "    lambda epoch: 1e-8 * 10**(epoch / 20))\n",
    "\n",
    "optimizer = tf.keras.optimizers.SGD(lr=1e-8, momentum=0.9)\n",
    "model.compile(loss=\"mse\", optimizer=optimizer)\n",
    "history = model.fit(dataset, epochs=100, callbacks=[lr_schedule], verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "2ZaNsM2IgCd_"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1e-08, 0.001, 0.0, 300.0)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lrs = 1e-8 * (10 ** (np.arange(100) / 20))\n",
    "plt.semilogx(lrs, history.history[\"loss\"])\n",
    "plt.axis([1e-8, 1e-3, 0, 300])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "QDwW0Q7ovYK1"
   },
   "outputs": [],
   "source": [
    "window_size = 30\n",
    "dataset = windowed_dataset(x_train, window_size, batch_size, shuffle_buffer_size)\n",
    "\n",
    "model = tf.keras.models.Sequential([\n",
    "  tf.keras.layers.Dense(10, activation=\"relu\", input_shape=[window_size]),\n",
    "  tf.keras.layers.Dense(10, activation=\"relu\"),\n",
    "  tf.keras.layers.Dense(1)\n",
    "])\n",
    "\n",
    "optimizer = tf.keras.optimizers.SGD(lr=8e-6, momentum=0.9)\n",
    "model.compile(loss=\"mse\", optimizer=optimizer)\n",
    "history = model.fit(dataset, epochs=100, verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "iXBMO1HM9AHX"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画出损失函数\n",
    "loss = history.history['loss']\n",
    "epochs = range(len(loss))\n",
    "plt.plot(epochs, loss, 'b', label='Training Loss')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "xakiRU7R7WAo"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot all but the first 10\n",
    "loss = history.history['loss']\n",
    "epochs = range(10, len(loss))\n",
    "plot_loss = loss[10:]\n",
    "print(plot_loss)\n",
    "plt.plot(epochs, plot_loss, 'b', label='Training Loss')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "YUOPUeHWvvBG"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "W-GPjL2wv0yc"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.471136"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf.keras.metrics.mean_absolute_error(x_valid, results).numpy()"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "include_colab_link": true,
   "name": "S+P Week 2 Lesson 3.ipynb",
   "provenance": [],
   "toc_visible": true
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
